198005818226832 has 1280 divisors, whose sum is σ = 745874260992000. Its totient is φ = 48788141875200.

The previous prime is 198005818226831. The next prime is 198005818226947. The reversal of 198005818226832 is 238622818500891.

198005818226832 is a `hidden beast` number, since 19 + 8 + 0 + 0 + 581 + 8 + 2 + 2 + 6 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 198005818226832.

It is not an unprimeable number, because it can be changed into a prime (198005818226831) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 87265674594 + ... + 87265676862.

It is an arithmetic number, because the mean of its divisors is an integer number (582714266400).

Almost surely, 2^{198005818226832} is an apocalyptic number.

198005818226832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198005818226832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372937130496000).

198005818226832 is an abundant number, since it is smaller than the sum of its proper divisors (547868442765168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198005818226832 is a wasteful number, since it uses less digits than its factorization.

198005818226832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 198005818226832 in words is "one hundred ninety-eight trillion, five billion, eight hundred eighteen million, two hundred twenty-six thousand, eight hundred thirty-two".